eBook
Mathigon

Mathigon: Probability and Discrete Math: Introduction

For Students 9th - 10th Standards
This is an introduction to the study of probability. It tells the story of two of the greatest mathematicians, Blaise Pascal and Pierre de Fermat, who used coin tosses of heads or tails to determine who paid the bill. It led to the...
eBook
Mathigon

Mathigon: Probability and Discrete Math: Predicting the Future

For Students 9th - 10th Standards
This lesson focuses on probability theory for predicting the outcome of flipping a coin, and then flipping it multiple times.
eBook
Mathigon

Mathigon: Probability and Discrete Math: Monty Hall

For Students 9th - 10th
This lesson focuses on the Monty Hall game where you select one of three doors. It explains your odds based on your choices.
eBook
Mathigon

Mathigon: Probability and Discrete Math: Casino Mathematics

For Students 9th - 10th Standards
This lesson focuses on the probability and casino games such as Roulette which consists of a wheel with the numbers from 1 to 36 colored in red and black, as well as a green 0. A ball rolls around the outside and randomly lands on one of...
eBook
Mathigon

Mathigon: Probability and Discrete Math: True Randomness

For Students 9th - 10th
This lesson focuses on randomness; it explains that what we often think of as random is only random because we do not have the tools to make better predictions. However, true randomness does exists -- at the very foundations of matter. A...
eBook
Mathigon

Mathigon: Probability and Discrete Math: What Are Probabilities

For Students 9th - 10th Standards
This lesson focuses on probability, a number between 0 and 1 which describes the likelihood of a certain event. A probability of 0 means that something is impossible; a probability of 1 means that something is certain.
Lesson Plan
ReadWriteThink

Read Write Think: Exploring Sets Through Math Related Book Pairs

For Teachers Pre-K - 1st Standards
After reading two math-related books, students investigate their home and school environments to find examples of objects that come in sets and then create their own books on sets.
Handout
Other

Math I Ly: Discrete Mathematics in the Real World

For Students 10th - 12th
This resource provides short descriptions, with links to longer explanations, of examples of discrete mathematics as applied to our everyday lives and as used in important and interesting research and corporate applications.
Activity
Wolfram Research

Wolfram Math World: Discrete Mathematics Topics List

For Students 9th - 10th
A thorough list of topics in the study of Discrete Mathematics. Combinatorics, Graph Theory, and Point Lattices are three of the many areas given in-depth explanations here. Many of the links contain discussions of the topics that both...
Handout
Wikimedia

Wikipedia: Matematica Discreta

For Students 9th - 10th
In Spanish. Overview of discrete math and various related topics. Also discusses the theories and mathematicians behind finite math.
Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: The Fundamental Counting Principle

For Students 9th - 10th
Contains a tutorial on the fundamental counting principle that includes many examples and sample problems.
Website
Maths Challenge

Maths challenge.net: Problem Solving Database

For Teachers 9th - 10th Standards
Need some challenging problem-solving work for your students in the following areas: Discrete, Geometry, Numbers, and Code Breaking? This is the place for an enormous database of problems aimed at high school age students. They are...
Activity
Lawrence Hall of Science

The Math Page: An Approach to Calculus: Continuous Versus Discrete

For Students 9th - 10th Standards
Here is a site that clearly and thoroughly explains the the notion that calculus is the study of continuity. This page is mostly discussion of the difference between a continuous quantity and a discrete quantity. Point this site out to...
Activity
Texas Instruments

Texas Instruments: Math Today Challenge New Color of Money

For Teachers 9th - 10th
In this activity, students will read about the changes in the "new money" and then create a graph to represent various combinations of currency produced. This activity provides an excellent example of discrete, real-world data.
Website
National Council of Teachers of Mathematics

The Math Forum: Math Topics: Topology: Knot Theory

For Students 9th - 10th
An extensive collection of sites on the topic of Knot Theory. Links to dozens of sites are provided which take the user from the basic definition of KT, through to detailed Applet programs which create knots on the spot. NOTE: Some links...
Handout
Wolfram Research

Wolfram Math World: Closed Set

For Students 9th - 10th
Site gives four different definitions of a closed set in mathematics. Each of the definitions has at least one link for further clarification. The site also expresses which of these definitions is most commonly encountered.
Activity
University of Regina (Canada)

University of Regina: Math Central: Thoughts on Teaching Perm. And Combin.

For Students 9th - 10th Standards
An article written for teachers with recommendations on how to present permutations, combinations, and the binomial theorem to students. It contains both useful suggestions about order of presentation and many class examples. A good...
Activity
University of Colorado

University of Colorado: Election Theory Activities

For Students 9th - 10th
A variety of lesson plans offer activities to use when teaching discrete math and election theory. The activities get students involved in group work to apply the concepts.
Activity
University of Colorado

University of Colorado: Iteration and Recursion Activities

For Students 9th - 10th Standards
These discrete math activities utilize the concepts of iteration and recursion. Students work in a group to solve real-world problems.
Activity
University of Colorado

University of Colorado: Fair Division Activities

For Students 9th - 10th
A series of activities in fair division allows students to work in groups on discrete math concepts. Tips are included on how to incorporate the activities into other math areas, including Algebra and Geometry.
Activity
Wolfram Research

Wolfram Math World: Topology: Topics

For Students 9th - 10th
A dozen topology topics are listed here for both the teacher's and the student's use. Knot Theory, Bundles, and Topology Structures are just some of the areas which are explored in depth. Detailed explanations and necessary sketches and...
Activity
University of Colorado

University of Colorado: Graph Theory Activities

For Students 9th - 10th
This series of activities incorporates the concept of graph theory into the discrete mathematics classroom. Students work in a group to solve problems using graph theory.
Interactive
Other

Graphs, Stories, and Games: Games on Graphs

For Students 3rd - 5th
What a great way to make math fun for your elementary students! Learning happens almost by osmosis by using this interesting game that uses stories, a graph (the kind of graph defined in the branch of mathematics called Graph Theory),...
Unknown Type
Khan Academy

Khan Academy: Mean (Expected Value) of a Discrete Random Variable Practice

For Students 10th - 12th Standards
A practice word problem asking students to calculate the mean of B in a probability chart.

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